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A common solution is to initially compute the sine of many evenly distributed values, and then to find the sine of x we choose the sine of the value closest to x through array indexing operation. This will be close to the correct value because sine is a continuous function with a bounded rate of change. [10]: 6 For example: [11]: 545–548
One technique for bounds-checking elimination is to use a typed static single assignment form representation and for each array to create a new type representing a safe index for that particular array. The first use of a value as an array index results in a runtime type cast (and appropriate check), but subsequently the safe index value can be ...
An array data structure can be mathematically modeled as an abstract data structure (an abstract array) with two operations get(A, I): the data stored in the element of the array A whose indices are the integer tuple I. set(A, I, V): the array that results by setting the value of that element to V. These operations are required to satisfy the ...
In array languages, operations are generalized to apply to both scalars and arrays. Thus, a+b expresses the sum of two scalars if a and b are scalars, or the sum of two arrays if they are arrays. An array language simplifies programming but possibly at a cost known as the abstraction penalty.
In addition to support for vectorized arithmetic and relational operations, these languages also vectorize common mathematical functions such as sine. For example, if x is an array, then y = sin (x) will result in an array y whose elements are sine of the corresponding elements of the array x. Vectorized index operations are also supported.
A value can be entered from the computer keyboard by directly typing into the cell itself. Alternatively, a value can be based on a formula (see below), which might perform a calculation, display the current date or time, or retrieve external data such as a stock quote or a database value. The Spreadsheet Value Rule
A macro is created by the user or pre-installed with Excel. Template .xlt: A pre-formatted spreadsheet created by the user or by Microsoft Excel. Module .xlv: A module is written in VBA (Visual Basic for Applications) for Microsoft Excel Library .DLL: Code written in VBA may access functions in a DLL, typically this is used to access the ...
Instead, it returns a 16-byte 128-bit RAW value based on a host identifier and a process or thread identifier, somewhat similar to a GUID. [34] PostgreSQL contains a UUID datatype [35] and can generate most versions of UUIDs through the use of functions from modules. [36] [37] MySQL provides a UUID function, which generates standard version-1 ...